`int (e^x-sinx)/(e^x+cos x)dx`

int e^x cos 2x dx

int e^x cos 3x dx

int(e^(x)-sin x)/(cos x+e^(x))dx

int_(0)^(pi//2)(e^(sin x))/(e^(sin x)+e^(cos x))dx=

int e^(2x)(-sin x+2cos x)dx

int(e^(logx)+sinx).cos x dx=

int e^(2x) sin x cos x dx

int (2+ sinx)/(1+ cos x) e^(x//2) dx

int sin x*e^(cos x)dx

Read the following text and answer the followig questions on the basis of the same : inte^(x)[f(x) + f'(x)]dx = int e^(x)f(x)dx + int e^(x) f'(x)dx = f(x)e^(x) - int f'(x)e^(x)dx + int f'(x)e^(x)dx = e^(x)f(x) + c int e^(x)(sin x + cos x)dx =